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Simplifying 8100 + b2 = b + 900 Reorder the terms: 8100 + b2 = 900 + b Solving 8100 + b2 = 900 + b Solving for variable 'b'. Reorder the terms: 8100 + -900 + -1b + b2 = 900 + b + -900 + -1b Combine like terms: 8100 + -900 = 7200 7200 + -1b + b2 = 900 + b + -900 + -1b Reorder the terms: 7200 + -1b + b2 = 900 + -900 + b + -1b Combine like terms: 900 + -900 = 0 7200 + -1b + b2 = 0 + b + -1b 7200 + -1b + b2 = b + -1b Combine like terms: b + -1b = 0 7200 + -1b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-7200' to each side of the equation. 7200 + -1b + -7200 + b2 = 0 + -7200 Reorder the terms: 7200 + -7200 + -1b + b2 = 0 + -7200 Combine like terms: 7200 + -7200 = 0 0 + -1b + b2 = 0 + -7200 -1b + b2 = 0 + -7200 Combine like terms: 0 + -7200 = -7200 -1b + b2 = -7200 The b term is -1b. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1b + 0.25 + b2 = -7200 + 0.25 Reorder the terms: 0.25 + -1b + b2 = -7200 + 0.25 Combine like terms: -7200 + 0.25 = -7199.75 0.25 + -1b + b2 = -7199.75 Factor a perfect square on the left side: (b + -0.5)(b + -0.5) = -7199.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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